Handbook of Size Exclusion Chromatography and Related ...

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thespecificporevolume(mL/gadsorbent)andVSS isthevolumeofpuresolidper gram. Equation (11) presents the relationship between particle porosity and internal porosity: eP ¼eSP(1 ei) (11) Therange for theinterparticleporosity ei listed inTable3islargelybased ondata fromRef.33.ItwasfoundthatGFCcolumnspackedwithsphericalparticleshave interparticle porosities ranging from 0.35 to 0.39, but columns packed with irregularparticlesshowedVi valuesashighas0.47.Thesevaluesareinreasonable agreement with earlier findings from Giddings (53), who reported ei values in the range 0.37–0.43. Experiments by the authors with spherical 5-mm, 100 A ˚ pore sizesilicashaverepeatedlyfound avalueof0.40for theinterparticleporosityand 0.75–0.80 for the mobile-phase porosity. Values as low as 0.34 for ei were measuredwhenthesesilicasweremorefragileandhadmobile-phaseporositieseT of 0.80–0.84. Examples of these two types of silicas are shown later. Engelhardt reported0.42fortheinterstitialporosityofsolidglassbeadsand0.80–0.88forthe mobile-phase porosity of totally porous supports (56). For particles with very large pores, porevolume is sometimes sacrificed for mechanical stability.For example, when particles varying in pore size from 10 to 385 nm,butwithnearlyidenticalporosities,weresubjectedtopressuretests,those with the largest pore sizes collapsed at lower pressure drops (see Ref. 23, p. 174). Thus, the mechanical stabilityof larger pore size particles can only be maintained by reducing the pore volume. Alternatively,larger pore size particles must be slurry packed at lower pressures, thereby decreasing the stability and lifetime of the packed bed. Chemical modification of the silica surface results in aloss of porevolume. Thus, the bonded phase layer must be optimized to reduce effectively interactions with silanol groups while minimizing the thickness of the bonded layer to avoid reducing the pore volume and preventing slow transport kinetics in the stationary phase. For example, the thickness of the stationary phase layer was estimated as 0.56 nmforaC3-alkylfunctionalgroupand2.45 nmforC18-alkyl,assumingthat the ligands stand upright on the surface (57). This assumption is thought to be correct under conditions that fully solvate the stationary phase layer, which is the case in GFC as well as GPC, in which the stationary and mobile phases have similar polar or nonpolar characteristics, respectively. Under such conditions, however, the bonded phase layer can be partially penetrated by the solutes and, thus, the loss of porevolume is smaller than expected based on thevolume of the bonded-phase layer. Henry recently showed the shift in the pore diameter distribution for apolyethyleneimine phasewith alayer thickness of 0.85 nm (26). The averagepore size of modern analytical HPLC packings is 100 A ˚ ,range 60–120 A ˚ .Figure 5shows the internal surface area vs. pore diameter for four © 2004 by Marcel Dekker, Inc.
Figure 5 Pore size distributions of HPLC silicas. Internal surface area vs. pore diameter for four commercial 5-mm silicas were determined by mercury intrusion using Micromeritics Autopore II 9200 at pressures up to 60,000 psi (400 MPa). Packing materials, LiChrospher Si-100 (Lot 602F659316), Spherisorb S5W (Lot F5259), Supelcosil LC-Si (Lot 180-86), and Zorbax BP-Sil (Lot 20357-58). commercial 5-mm silicas with pore sizes ranging from 60 to 120 A ˚ as determined by mercury porosimetry (R. Eksteen, unpublished results, 1986). This technique can measure pore diameters down to 30 A ˚ , which is the upper limit of the size range for micropores. Note that the data in Fig. 5 are biased toward the smallest pore sizes, which by virtue of their number can contribute significantly to the total surface area while representing a relatively smaller fraction of the total pore © 2004 by Marcel Dekker, Inc.
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MARCEL DEKKER Handbook of Size Excl
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CHROMATOGRAPHIC SCIENCE SERIES A Se
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60. Modern Chromatographic Analysis
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Preface to the Second Edition Gel p
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Preface to the First Edition Molecu
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Contents Preface to the Second Edit
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17. Size Exclusion Chromatography o
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James F. Curry Analytical Departmen
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Iwao Teraoka, Ph.D. Othmer Departme
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The graphical data display typicall
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polymer molecule can elute. The tot
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individual states) allowed to them.
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unsaturation while the IR detector
Page 27 and 28: Sampleconcentrationshouldbeminimize
Page 29 and 30: averagesdefinedintermsofthemolecula
Page 31 and 32: information regarding appropriate M
Page 33 and 34: Analytical. Two models, the KMX-6 a
Page 35 and 36: Figure 6 Overlay of time-sliced pea
Page 37 and 38: accurately for very large and very
Page 39 and 40: 4 GENERAL REFERENCES The interested
Page 41 and 42: 46. TA Chamberlin, HE Tuinstra. US
Page 43 and 44: materials are commercially availabl
Page 45 and 46: Table 1 Commercial Column Packing M
Page 47 and 48: necessarily comparable. For this re
Page 49 and 50: adjusted such that the pore size di
Page 51 and 52: narrowmolecular weight range, indiv
Page 53 and 54: Figure 8 Effect of particle size on
Page 55 and 56: Figure 9 SEC calibration using poly
Page 57 and 58: Table 4 Typical Eluent Systems for
Page 59 and 60: Figure 12 Analysis of poly-2-vinyl
Page 61 and 62: 24. E Meehan, S O’Donohue. The ro
Page 63 and 64: into accepted laboratory techniques
Page 65 and 66: Table 1 Trace Metal Impurities in C
Page 67 and 68: mass and biological activity, for m
Page 69 and 70: Experimental efficiency vs. velocit
Page 71 and 72: Table 3 Properties of SEC Silica Ge
Page 73 and 74: operate at aflow rate that can easi
Page 75 and 76: Figure 3 Efficiency of amide-bonded
Page 77: mechanically stable packing materia
Page 81 and 82: Figure 6 Separation of polystyrenes
Page 83 and 84: 60-120 A ˚ are large enough to be
Page 85 and 86: Table 6 Selected Silica-Based Colum
Page 87 and 88: Table 7 Separation Ranges for Polym
Page 89 and 90: the decline in permeability is perm
Page 91 and 92: sample components can be varied by
Page 93 and 94: Figure 10 Diol bonding reactions. I
Page 95 and 96: ecause of the higher relative molec
Page 97 and 98: valuesfork1,k2,anda,theunknownmolec
Page 99 and 100: water-soluble and detergent-soluble
Page 101 and 102: the importance of secondary retenti
Page 103 and 104: discussed in Table 8(33). Based on
Page 105 and 106: individual dispersion processes ins
Page 107 and 108: The detector time constant can dist
Page 109 and 110: 5.3 Mobile Phase A mobile phase is
Page 111 and 112: less steep and still linear at high
Page 113 and 114: 35. P Bristow, J Knox. Chromatograp
Page 115 and 116: 112. K Gooding, K Lu, G Vanecek, F
Page 117 and 118: for branched polymers or copolymers
Page 119 and 120: Figure 1 “Bridge design” flow-r
Page 121 and 122: Figure 3 A light-scattering photome
Page 123 and 124: Figure 5 SEC universal calibration
Page 125 and 126: where hn is the hydrodynamic volume
Page 127 and 128: It should be noted that dn=dc also
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sensitivity for many samples compar
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that is, log[h] vs. logM,generated
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Figure 8 Effect of band broadening
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Table 1 Measurement of Molecular We
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Figure 10 Differential refractomete
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Figure 11 (A) Mark-Houwink plot of
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Table 3 Measurement of Molecular We
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size information is derived from un
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Table 5 Molecular Weight Distributi
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By measuring the scattered intensit
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8 APPENDIX: INSTRUMENT COMPANIES 8.
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53. G Marot, J Lesec. J Liq Chromat
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125. D Slootmaekers, JAPP Van Dijk,
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200. JG Bindels, GJJ Bessems, BM De
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possibly with hydrodynamic volume (
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An insurmountable limitation of SEC
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to sDR(V) when either nPS ¼nPB ¼c
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1,4-trans;and8%1,2-vynil.TheglobalC
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The goal is to find the MWD and CCD
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As expected, pS is closer to the no
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Figure 3 Example 3: MWD and BD of a
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9. BH Zimm, WH Stockmayer. The dime
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45. RO Bielsa, GR Meira. Linear cop
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solubility properties. They are use
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determination of the absolute molec
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Figure 4 Result of the PBT analysis
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Figure 8 Result of natural spider s
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7 Size Exclusion Chromatography of
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As pointed out earlier, rubber must
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Table 2 Various Solvents and Operat
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Figure 2 Typical GPC calibrations w
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© 2004 by Marcel Dekker, Inc. Figu
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Natural and Synthetic Rubbe177 vari
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Another example, shown in Fig. 5 (3
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APPENDIX: SEC CONDITIONS FOR RUBBER
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Appendix (Continued) Polymer Column
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Page 203 and 204:
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5. J West, E Rodriguez. Rubber Chem
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associate. Girdler (67) and Speight
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Table 1 Fractions Obtained Using Co
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Figure 1 SEC analyses of an aged as
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Apparently more polar compounds are
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40% was fractionated into four frac
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Figure 7 SEC analyses of an unaged
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Figure 9 Comparison of percentage L
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Figure 11 Comparison of SEC chromat
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Figure 12 Comparisons of SEC chroma
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percentage LMS at the other locatio
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the total area into up to 12 sectio
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attempted to develop an SEC method
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parameterisbasedontheinternalpressu
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5 MODIFIED ASPHALTS The addition of
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Oxidation of the rubber and asphalt
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Figure 20 SEC chromatogram for an a
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Figure 21 Comparisons of apparent m
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© 2004 by Marcel Dekker, Inc. S/
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PS/10 4 þ 10 3 þ 500 þ 100 THF/1
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Nevertheless, SEC of asphalts is es
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56. NW Garrick, RR Biskur. Trans Re
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Asphalts 235 122. M-S Lin, JM Chaff
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Table 1 Applications of Acrylamide
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(AM/AA), and acrylamide/dimethyldia
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polymer, a large size filter of 5,
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Figure 1 Size exclusion chromatogra
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Table3 MWandMWDofaBroad-MWDPAMStand
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Another commercially available MW d
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Table 5 Weight-Average Molecular We
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Figure 6 (a) Size exclusion chromat
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compared to anormal product. By com
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StudyingtheKineticsofaChemicalReact
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this information, the higher MW pea
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46. CJ Kim, A Hamielec, A Bendek. J
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A relatively new technique utilizin
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where ais the exponent of the Mark-
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Figure 2 TDS chromatograms for full
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Figure 5 Comparison of molecular we
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Table 3 Summary of TDS Molecular We
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thepartiallyhydrolyzedPVAwiththecol
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Table 5 Summary of Conformation and
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a¼0.627andlog(K) ¼23.249.Theseare
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The limits of detection of the PVA
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Figure 12 PVAc broad molecular weig
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4 SUMMARY Advances in SEC character
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2.1 Molecular Weight Grades of PVP
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exclusion chromatography with low-a
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weightandmolecularweightdistributio
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Figure 4 PEOcalibrationofUltrahydro
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Figure 6 Overlay of GPC chromatogra
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plus Ultrahydrogel 120 A ˚ ,Shodex
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Figure 10 SEC traces of PVP/AA copo
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Figure 11 Molecular weight distribu
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2 CHEMICAL, MACROMOLECULAR AND MORP
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Table 2 The Relative Composition of
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considered to be 3. After the DS ha
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een extensively studied by methods
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The silylation was performed in LiC
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observed using column materials hav
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Table 6 (Continued) Packing materia
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4.5 Other Cellulose Derivatives Bes
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Table 8 SEC Conditions for Characte
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dextrans swell too much in cadoxen
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stirring at room temperature for an
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Figure 2 MMDofunbleached(HP)andblea
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Figure 4 MMDofbirchkraftpulpdegrade
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adequate when evaluating the influe
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differential refractive index (DRI)
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30. HA Krässig. Effects of structu
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67. E Sjöholm, K Gustafsson, A Col
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104. B Fleury, J Dubois, C Léonard
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136. D Miller, D Senior, R Sutcliff
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166. SS Cutié, CG Smith. Determina
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200. R Berggren, F Berthold, E Sjö
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13 Molar Mass and Size Distribution
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measurements, and vapor pressure os
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The calibration of SEC columns by c
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The division according to eluent ty
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Apolymer produced by UV irradiation
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Because DMAC/LiCl is also agood sol
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compoundsandwasexplainedbyadsorptio
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isolated lignins because they are e
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The Separon HEMA and Separon HEMA B
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Figure 4 GPC elution curves of the
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liquor is highest throughout the co
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topological anisotropy in the polym
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29. M Ristolainen, R Alen, J Knuuti
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eds. Proc Int Symp 1998. Canton, Pe
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92. L Jurasek. Towards a three dime
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Table 1 Selected Industries Connect
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into C3-metabolites, which then may
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Table 4 Key Enzymes in the Biosynth
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Table 5 Cloned Mutants of Starch En
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Figure 3 Modeled x-ray diffraction
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In the native environment (plant ce
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Figure 6 (a) Large starch granules
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number of branching points); crossl
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Both absolute approaches are extrao
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Table 7 (Continued) Approach Experi
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structures, excluded volumes, and t
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Figure 10 (a) SEC elution profile o
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Figure 12 Wheat glucans: DRI elutio
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Figure 13 Wheat glucans. Normalized
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Figure 16 Wheat glucan. Normalized
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Figure 18 Wheat glucan.Elution prof
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Figure 20 Wheat glucans. Absolute m
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Figure 22 Wheat glucan. (a) Intrins
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Figure 24 Wheat PA-glucan. Elution
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an Ubbelohde-viscometer for concent
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Rheological investigations of stabi
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shifts to applied laser light, whic
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Table 8 Characteristic Parameters f
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Table 8 (Continued) and H2O. A part
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10. SG Ball, MHBJ van de Wal, RGF V
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52. W Praznik, R Beck. J Chromatogr
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Page 455 and 456:
3 PROTEIN PARTITIONING IN SEC 3.1 G
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Figure 1 Plot of Kav vs. log M for
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yconsideringtheproteinsolutestobesp
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globular proteins and selected flex
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silanol groups (52-54); even capped
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most proteins to be maximally stabl
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Figure 4 Chromatograms of BSA and P
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concentrated) steps of protein puri
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Table 3 Characteristics of Dextran-
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preparative SEC. The capabilities o
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37. GR Noll, N Nagle, JO Baker, DJ
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Figure 2 Separation of total E. col
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Figure 3 Separation of HaeIII-cleav
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The recovery of DNA fragments has b
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Endotoxin should also be removed fr
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Table 3 Best Columns for the Separa
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Figure 10 Dependence of HETP on flo
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Appendix (Continued ) Polymer Colum
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REFERENCES 1. CT Wehr, SR Abbott. J
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MALDI-MS has been applied to determ
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Figure 1 Calibration curvesof SEC c
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Figure 3 Chromatograms of epoxy res
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wherenandn0 aretheRIsofthesample an
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Figure 5 SEC chromatogram of n-alka
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Figure 7 Refractive indexes of comm
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Another detector recently applied i
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Figure 11 Absolute MW calibration p
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Figure 12 Chromatogram of Acrawax C
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18 Two-Dimensional Liquid Chromatog
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largerispressuredropandresultingexp
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elations between molar masses and s
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Figure 2 (Continued) chapter, one o
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where Nis the column efficiency exp
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composition/architecture/molar mass
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solvent. Here again, solvent-solven
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or repulsive interactions between m
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macromolecules may strongly differ
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temperature. The efficacy of an ads
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however, aliphatic bonded groups ma
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Figure 10 Schematic representation
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packing materials for SEC of synthe
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Quantitative relations between sila
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Both strength and thermodynamic qua
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where Cand Dare constants for apart
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ThisisimportantwhenLCCCisappliedtoc
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Page 549 and 550:
Page 551 and 552:
However, strong adsorption of macro
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elution step may be sufficient for
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Figure 16 Block scheme of a full ad
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processing of 2D-HPLC data. Knowled
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Figure 20 Set of full retention-elu
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distributions of complex polymers a
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constituents were not discriminated
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(Sec. 7) and therefore they can be
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2. Identify sample solvents. First
Page 569 and 570:
1 Segmental interaction energy para
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58. BG Belenkii. Pure Appl Chem 51:
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19 Methods and Columns for High-Spe
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Table 1 Summary of Methods for Incr
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not savealot of time and solvent, d
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Figure 3 Conventional SEC chromatog
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chromatogram at 4mL/min, which is f
Page 583 and 584:
Sincethereductionoftheinternaldiame
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Table 3 Summary of Column Performan
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Figure 11 Dependence of column perf
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. Two-dimensional chromatography ru
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The standard deviations for the mol
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Figure 15 Comparison of time requir
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Figure 17 Accuracy and precision of
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polymer analysis. Samples are “ru
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just ignoring the fractionation of
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20 Automatic Continuous Mixing Tech
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out at low enough concentration tha
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educed viscosity, h r, to be comput
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Page 609 and 610:
Figure 2 Raw ACOMP signals from mul
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Figure 4 Mw vs. monomer conversion,
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decreases smoothly and monotonicall
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Figure 7 Effects of fluctuating rea
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Finally, the use of a light-scatter
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Figure 8 Linear and cubic increases
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where r(t) is now given by 2 6 r(t)
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Figure 11 Light scattering from sol
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3.1 ASimple System: Equilibrium Cha
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Figure 13 (a) ACM applied to the ch
Page 629 and 630:
Also of note in Fig. 13b is how hig
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15. JM Starita, CL Rohn. Rheologica
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52. M Hulden. Hydrophobically modif
Page 635 and 636:
21 Light Scattering and the Solutio
Page 637 and 638:
therefore, is to remove any lingeri
Page 639 and 640:
is often found in the literature wh
Page 641 and 642:
Figure 2 Configuration of an SEC se
Page 643 and 644:
5 THE IMPORTANCE OF SOFTWARE Like a
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standard deviations of the measured
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These include the differential weig
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Figure 8 Data of Fig. 7corrected fo
Page 651 and 652:
Figure 11 Data of Fig. 10 with spik
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Figure 13 Fitstodatacollectedatasli
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Table 1 Errors (in %) Characteristi
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homogeneous copolymer, that is, tak
Page 659 and 660:
process may be used to identify the
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fractionated sample. They represent
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Figure 16 An example of poor SEC ch
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on) methods, whereby the average di
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23. WH Stockmayer, LD Moore Jr, M F
Page 669 and 670:
condition, as is explained in this
Page 671 and 672:
Figure 2 Partition coefficients KL
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4 COLUMNS FOR HOPC Detailsaregiveni
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and concomitant clogging of columns
Page 677 and 678:
Figure 5 Concentration dependence o
Page 679 and 680:
Table 1 Solution Volume, Polymer Ma
Page 681 and 682:
in Fig. 4a. The middle fractions (8
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Figure 10 SEC chromatograms for som
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appropriate for the early fractions
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23 Size Exclusion/ Hydrodynamic Chr
Page 689 and 690:
Figure 2 Calibration curve for the
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Figure 5 Elutionbehaviorofpolystyre
Page 693 and 694:
Table 1 Comparison Between SEC and
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egular SEC column in which the pore
Page 697:
Such an ideal separation can be obt
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